NUMBERS

Whole Numbers – Place value and total value of digits up to hundreds of thousands

By the end of the lesson, the learner should be able to:

- Identify place value of digits up to hundreds of thousands using place value apparatus.
- Apply place value of digits up to hundreds of thousands in real life.

The learner is guided to:
- Identify place value of digits up to hundreds of thousands using place value apparatus.
- Fill in place value charts correctly to indicate place value of different digits.
- Participate in group discussion to understand the application of place value in real life.

Where is place value used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 1.
- Place value apparatus.
- Number charts.
- Number cards.
- Place value charts.
- Mentor Mathematics Learner's Book Grade 5 page 4.
- Scissors.
- Adhesive materials.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Place value and total value of digits up to hundreds of thousands
Whole Numbers – Numbers up to hundreds of thousands in symbols

By the end of the lesson, the learner should be able to:

- Use place value and total value of digits up to hundreds of thousands in different problems.
- Solve problems involving place value and total value.
- Appreciate use of place value and total value in real life.

The learner is guided to:
- Solve problems involving place value and total value.
- Create their own problems involving place value and total value.
- Share and discuss their problems with other groups.
- Use digital devices or other resources to learn more about place value.

How is place value and total value used to solve problems?

- Mentor Mathematics Learner's Book Grade 5 page 5.
- Place value apparatus.
- Number cards.
- Digital devices (optional).
- Mentor Mathematics Learner's Book Grade 5 page 6.
- Number charts.
- Flash cards with large numbers.

- Observation. - Oral questions. - Written exercises. - Individual assessment.

NUMBERS

Whole Numbers – Numbers up to hundreds of thousands in symbols
Whole Numbers – Reading, writing and relating numbers up to tens of thousands in words

By the end of the lesson, the learner should be able to:

- Use numbers up to hundreds of thousands in symbols in different contexts.
- Form numbers with different digits.
- Appreciate use of numbers up to hundreds of thousands in real life.

The learner is guided to:
- Form different numbers using given digits.
- Identify the smallest and largest numbers that can be formed using given digits.
- Create and solve problems involving numbers in symbols.
- Discuss real-life contexts where large numbers are used.

How are large numbers represented and used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 7.
- Number cards.
- Place value charts.
- Real-life examples with large numbers.
- Mentor Mathematics Learner's Book Grade 5 page 8.
- Number charts.
- Flash cards with numbers in words.
- Reference materials.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Whole Numbers – Reading, writing and relating numbers up to tens of thousands in words

By the end of the lesson, the learner should be able to:

- Convert between numbers in symbols and numbers in words.
- Apply reading and writing numbers in words in real-life situations.
- Appreciate importance of reading and writing numbers in words.

The learner is guided to:
- Convert numbers from symbols to words and from words to symbols.
- Create and solve problems involving numbers in words.
- Discuss real-life contexts where writing numbers in words is important.
- Practice reading and writing numbers in words.

Where do we use numbers in words in real life?

- Mentor Mathematics Learner's Book Grade 5 page 9.
- Number charts.
- Number cards.
- Flash cards with numbers in words.
- Real-life documents with numbers in words.
- Games involving numbers in words.
- Real-life documents.

- Observation. - Oral questions. - Written exercises. - Individual assessment.

NUMBERS

Whole Numbers – Ordering numbers up to tens of thousands

By the end of the lesson, the learner should be able to:

- Arrange numbers up to tens of thousands in increasing order.
- Compare numbers up to tens of thousands.
- Apply ordering of numbers in real life situations.

The learner is guided to:
- Arrange numbers up to tens of thousands in increasing order using number cards.
- Compare numbers up to tens of thousands using symbols (<, >, =).
- Share their arrangements with other groups.
- Discuss real-life applications of ordering numbers.

Where is ordering of numbers used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 10.
- Number cards.
- Charts with numbers.
- Comparing symbols cards.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Ordering numbers up to tens of thousands

By the end of the lesson, the learner should be able to:

- Arrange numbers up to tens of thousands in decreasing order.
- Compare numbers up to tens of thousands.
- Apply ordering of numbers in real life situations.

The learner is guided to:
- Arrange numbers up to tens of thousands in decreasing order using number cards.
- Share their arrangements with other groups.
- Discuss real-life scenarios where ordering numbers in decreasing order is applicable.
- Make number cards with heights of different mountains and arrange them from highest to lowest.

Why do we arrange numbers in decreasing order in real life?

- Mentor Mathematics Learner's Book Grade 5 page 12.
- Number cards.
- Charts with numbers.
- Real-life data for ordering activities.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest hundred

By the end of the lesson, the learner should be able to:

- Round off numbers up to tens of thousands to the nearest hundred.
- Apply rounding off numbers in different situations.
- Appreciate the use of rounding off numbers in real life.

The learner is guided to:
- Fill in the missing numbers on a number line.
- Identify whether numbers are closer to the previous or next hundred on the number line.
- Round off numbers to the nearest hundred using a number line.
- Share their work with other groups.

Why do we round off numbers?

- Mentor Mathematics Learner's Book Grade 5 page 15.
- Number line charts.
- Number cards.
- Real-life examples requiring rounding.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest hundred

By the end of the lesson, the learner should be able to:

- Apply rounding off numbers to the nearest hundred in problem solving.
- Create problems involving rounding off to the nearest hundred.
- Show genuine interest in rounding off numbers.

The learner is guided to:
- Solve problems involving rounding off to the nearest hundred.
- Create their own problems requiring rounding off.
- Discuss practical applications of rounding off in everyday life.
- Play games involving rounding off numbers.

How is rounding off numbers to the nearest hundred useful in everyday life?

- Mentor Mathematics Learner's Book Grade 5 page 16.
- Number line charts.
- Number cards.
- Real-life problems requiring rounding.
- Games involving rounding.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest thousand

By the end of the lesson, the learner should be able to:

- Round off numbers up to tens of thousands to the nearest thousand.
- Apply rounding off numbers in different situations.
- Appreciate the use of rounding off numbers in real life.

The learner is guided to:
- Fill in the missing numbers on a number line.
- Identify whether numbers are closer to the previous or next thousand on the number line.
- Round off numbers to the nearest thousand using a number line.
- Share their work with other groups.

How is rounding off numbers to the nearest thousand useful in everyday life?

- Mentor Mathematics Learner's Book Grade 5 page 17.
- Number line charts.
- Number cards.
- Real-life examples requiring rounding.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest thousand

By the end of the lesson, the learner should be able to:

- Round off numbers up to tens of thousands to the nearest thousand.
- Apply rounding off numbers in different situations.
- Appreciate the use of rounding off numbers in real life.

The learner is guided to:
- Fill in the missing numbers on a number line.
- Identify whether numbers are closer to the previous or next thousand on the number line.
- Round off numbers to the nearest thousand using a number line.
- Share their work with other groups.

How is rounding off numbers to the nearest thousand useful in everyday life?

- Mentor Mathematics Learner's Book Grade 5 page 17.
- Number line charts.
- Number cards.
- Real-life examples requiring rounding.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Whole Numbers – Rounding off numbers up to tens of thousands to the nearest thousand

By the end of the lesson, the learner should be able to:

- Apply rounding off numbers to the nearest thousand in problem solving.
- Create problems involving rounding off to the nearest thousand.
- Show genuine interest in rounding off numbers.

The learner is guided to:
- Solve problems involving rounding off to the nearest thousand.
- Create their own problems requiring rounding off.
- Discuss practical applications of rounding off in everyday life.
- Play games involving rounding off numbers.

When do we need to round off numbers to the nearest thousand?

- Mentor Mathematics Learner's Book Grade 5 page 18.
- Number line charts.
- Number cards.
- Real-life problems requiring rounding.
- Games involving rounding.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Divisibility tests of 2, 5 and 10

By the end of the lesson, the learner should be able to:

- Apply divisibility tests of 2 in real life.
- Identify numbers divisible by 2 without a remainder.
- Appreciate the use of divisibility tests of 2.

The learner is guided to:
- Use number cards to divide different numbers by 2 and come up with divisibility rules.
- Identify and list numbers divisible by 2.
- Discuss the pattern observed in numbers divisible by 2.
- Apply divisibility test of 2 in solving problems.

Where are divisibility tests used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 19.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Whole Numbers – Divisibility tests of 2, 5 and 10

By the end of the lesson, the learner should be able to:

- Apply divisibility tests of 5 in real life.
- Identify numbers divisible by 5 without a remainder.
- Appreciate the use of divisibility tests of 5.

The learner is guided to:
- Use number cards to divide different numbers by 5 and come up with divisibility rules.
- Identify and list numbers divisible by 5.
- Discuss the pattern observed in numbers divisible by 5.
- Apply divisibility test of 5 in solving problems.

When do we use divisibility tests in real life?

- Mentor Mathematics Learner's Book Grade 5 page 21.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Whole Numbers – Divisibility tests of 2, 5 and 10

By the end of the lesson, the learner should be able to:

- Apply divisibility tests of 10 in real life.
- Identify numbers divisible by 10 without a remainder.
- Appreciate the use of divisibility tests of 10.

The learner is guided to:
- Use number cards to divide different numbers by 10 and come up with divisibility rules.
- Identify and list numbers divisible by 10.
- Discuss the pattern observed in numbers divisible by 10.
- Apply divisibility test of 10 in solving problems.

How does knowledge of divisibility rules help in solving mathematical problems?

- Mentor Mathematics Learner's Book Grade 5 page 23.
- Number cards.
- Chart showing divisibility rules.
- Digital devices (optional).

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

By the end of the lesson, the learner should be able to:

- Use number charts to identify factors and divisors of given numbers.
- Identify common factors and divisors of numbers.
- Appreciate using HCF and GCD in real life.

The learner is guided to:
- Use number charts to identify factors and divisors of given numbers.
- Discuss and identify the common factors and divisors and share with others.
- Determine the highest or greatest common factor or divisor.
- Apply HCF and GCD in real-life situations.

Where is HCF and GCD applied in real life?

- Mentor Mathematics Learner's Book Grade 5 page 24.
- Number charts.
- Multiplication tables.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Whole Numbers – Highest Common Factor (HCF) and Greatest Common Divisor (GCD)

By the end of the lesson, the learner should be able to:

- Determine HCF and GCD of given numbers.
- Apply HCF and GCD in different situations.
- Appreciate using HCF and GCD in real life.

The learner is guided to:
- Find HCF and GCD of different sets of numbers.
- Solve problems involving HCF and GCD.
- Discuss and share their work with other groups.
- Apply HCF and GCD in real-life contexts.

How is HCF and GCD helpful in everyday situations?

- Mentor Mathematics Learner's Book Grade 5 page 26.
- Number charts.
- Multiplication tables.
- Factors and multiples charts.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Whole Numbers – Least Common Multiple (LCM)

By the end of the lesson, the learner should be able to:

- Identify multiples of given numbers.
- Determine common multiples of numbers.
- Identify the Least Common Multiple (LCM) of numbers.

The learner is guided to:
- Discuss and identify multiples of given numbers.
- Identify the common multiples of numbers.
- Determine the least common multiple.
- Use games to practice finding LCM.

Where is LCM used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 28.
- Number charts.
- Multiplication tables.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Addition – Addition of up to three 6-digit numbers without regrouping

By the end of the lesson, the learner should be able to:

- Add up to three 6-digit numbers without regrouping up to a sum of 1,000,000.
- Use place value apparatus for addition.
- Appreciate using addition in real life situations.

The learner is guided to:
- Work out the sum of three 6-digit numbers without regrouping up to 1,000,000 using place value apparatus.
- Create and solve addition problems involving 6-digit numbers.
- Discuss practical applications of addition in real life.
- Share their work with other groups.

Where is addition of large numbers used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 32.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with addition examples.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Addition – Addition of up to three 6-digit numbers without regrouping

By the end of the lesson, the learner should be able to:

- Add up to three 6-digit numbers without regrouping up to a sum of 1,000,000.
- Use place value apparatus for addition.
- Appreciate using addition in real life situations.

The learner is guided to:
- Work out the sum of three 6-digit numbers without regrouping up to 1,000,000 using place value apparatus.
- Create and solve addition problems involving 6-digit numbers.
- Discuss practical applications of addition in real life.
- Share their work with other groups.

Where is addition of large numbers used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 32.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with addition examples.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Addition – Addition of up to three 6-digit numbers without regrouping

By the end of the lesson, the learner should be able to:

- Add up to three 6-digit numbers without regrouping.
- Solve problems involving addition of large numbers.
- Apply addition skills in real-life contexts.

The learner is guided to:
- Practice addition of up to three 6-digit numbers without regrouping.
- Create and solve real-life problems involving addition.
- Discuss situations where addition of large numbers is applicable.
- Share their strategies for addition with classmates.

How is addition of large numbers useful in real life?

- Mentor Mathematics Learner's Book Grade 5 page 33.
- Place value apparatus.
- Abacus.
- Number cards.
- Real-life addition problems.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Addition – Addition of up to two 6-digit numbers with double regrouping

By the end of the lesson, the learner should be able to:

- Add up to two 6-digit numbers with double regrouping up to a sum of 1,000,000.
- Use place value apparatus for addition with regrouping.
- Appreciate using addition in real life situations.

The learner is guided to:
- Work out addition of up to two 6-digit numbers with double regrouping up to 1,000,000 using place value apparatus.
- Practice addition with regrouping using abacus and number cards.
- Solve addition problems involving regrouping.
- Discuss real-life contexts where addition with regrouping is applied.

How is addition with regrouping useful in solving real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 34.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with addition examples.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Addition – Addition of up to two 6-digit numbers with double regrouping

By the end of the lesson, the learner should be able to:

- Add up to two 6-digit numbers with double regrouping.
- Solve problems involving addition with regrouping.
- Apply addition skills in real-life contexts.

The learner is guided to:
- Practice addition of up to two 6-digit numbers with double regrouping.
- Create and solve real-life problems involving addition with regrouping.
- Discuss strategies for addition with regrouping.
- Share their work with other groups.

Where do we use addition with regrouping in real life?

- Mentor Mathematics Learner's Book Grade 5 page 35.
- Place value apparatus.
- Abacus.
- Number cards.
- Real-life addition problems.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Addition – Estimating sum by rounding off

By the end of the lesson, the learner should be able to:

- Estimate sum by rounding off the addends to the nearest hundred and thousand.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

The learner is guided to:
- Estimate sums by rounding off the addends to the nearest hundred and thousand using a number line.
- Compare estimated sums with actual sums.
- Discuss situations where estimation is more practical than exact calculation.
- Practice estimation in real-life contexts.

Why do we need to estimate sums in real life?

- Mentor Mathematics Learner's Book Grade 5 page 36.
- Number line.
- Number cards.
- Chart showing rounding off examples.
- Real-life problems for estimation.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Addition – Creating patterns involving addition

By the end of the lesson, the learner should be able to:

- Create patterns involving addition of numbers up to a sum of 1,000,000.
- Identify and extend number patterns involving addition.
- Appreciate patterns in mathematics.

The learner is guided to:
- Create patterns involving addition of numbers up to a sum of 1,000,000 using number cards and other resources.
- Identify rules in addition patterns.
- Extend given addition patterns.
- Create their own addition patterns and share with classmates.

How can you create patterns in addition?

- Mentor Mathematics Learner's Book Grade 5 page 38.
- Number cards.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Subtraction – Subtraction of up to 6-digit numbers without regrouping

By the end of the lesson, the learner should be able to:

- Subtract up to 6-digit numbers without regrouping.
- Use place value apparatus for subtraction.
- Appreciate subtraction in real life situations.

The learner is guided to:
- Work out subtraction of up to 6-digit numbers without regrouping using place value apparatus.
- Create and solve subtraction problems.
- Discuss practical applications of subtraction in real life.
- Share their work with other groups.

Where is subtraction used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 40.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with subtraction examples.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Subtraction – Subtraction of up to 6-digit numbers with regrouping

By the end of the lesson, the learner should be able to:

- Subtract up to 6-digit numbers with regrouping.
- Use place value apparatus for subtraction with regrouping.
- Appreciate subtraction in real life situations.

The learner is guided to:
- Work out subtraction of up to 6-digit numbers with regrouping using place value apparatus.
- Practice subtraction with regrouping using abacus and number cards.
- Solve subtraction problems involving regrouping.
- Discuss real-life contexts where subtraction with regrouping is applied.

How does subtraction with regrouping help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 42.
- Place value apparatus.
- Abacus.
- Number cards.
- Chart with subtraction examples.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Subtraction – Subtraction of up to 6-digit numbers with regrouping

By the end of the lesson, the learner should be able to:

- Apply subtraction of up to 6-digit numbers with regrouping in problem solving.
- Develop strategies for subtraction with regrouping.
- Show genuine interest in subtraction.

The learner is guided to:
- Practice more examples of subtraction with regrouping.
- Create and solve real-life problems involving subtraction with regrouping.
- Develop and share strategies for subtraction with regrouping.
- Play games involving subtraction of numbers.

Where do we use subtraction with regrouping in real life?

- Mentor Mathematics Learner's Book Grade 5 page 43.
- Place value apparatus.
- Abacus.
- Number cards.
- Games involving subtraction.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Subtraction – Estimating difference by rounding off

By the end of the lesson, the learner should be able to:

- Estimate difference by rounding off the minuend and subtrahend to the nearest hundred and thousand.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

The learner is guided to:
- Estimate differences by rounding off the minuend and subtrahend to the nearest hundred and thousand using a number line.
- Compare estimated differences with actual differences.
- Discuss situations where estimation is more practical than exact calculation.
- Practice estimation in real-life contexts.

Why do we need to estimate differences in real life?

- Mentor Mathematics Learner's Book Grade 5 page 45.
- Number line.
- Number cards.
- Chart showing rounding off examples.
- Real-life problems for estimation.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Subtraction – Estimating difference by rounding off

By the end of the lesson, the learner should be able to:

- Estimate difference by rounding off the minuend and subtrahend to the nearest hundred and thousand.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

The learner is guided to:
- Estimate differences by rounding off the minuend and subtrahend to the nearest hundred and thousand using a number line.
- Compare estimated differences with actual differences.
- Discuss situations where estimation is more practical than exact calculation.
- Practice estimation in real-life contexts.

Why do we need to estimate differences in real life?

- Mentor Mathematics Learner's Book Grade 5 page 45.
- Number line.
- Number cards.
- Chart showing rounding off examples.
- Real-life problems for estimation.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Subtraction – Combined operations (addition and subtraction)

By the end of the lesson, the learner should be able to:

- Perform combined operations involving addition and subtraction.
- Apply the correct order of operations.
- Appreciate combined operations in real life.

The learner is guided to:
- Work out questions involving addition and subtraction.
- Apply the correct order of operations.
- Create and solve problems involving combined operations.
- Discuss real-life applications of combined operations.

Where do we use combined operations in real life?

- Mentor Mathematics Learner's Book Grade 5 page 47.
- Number wheel.
- Number cards.
- Chart showing combined operations.
- Real-life problems.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Subtraction – Creating patterns involving subtraction

By the end of the lesson, the learner should be able to:

- Create patterns involving subtraction from up to 1,000,000.
- Identify and extend number patterns involving subtraction.
- Appreciate patterns in mathematics.

The learner is guided to:
- Create patterns involving subtraction of whole numbers from up to 1,000,000 using number charts.
- Identify rules in subtraction patterns.
- Extend given subtraction patterns.
- Create their own subtraction patterns and share with classmates.

How can you create number patterns involving subtraction?

- Mentor Mathematics Learner's Book Grade 5 page 48.
- Number cards.
- Chart showing number patterns.
- Digital devices (optional).
- Pattern worksheets.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Multiplication – Multiply up to a 3-digit number by up to a 2-digit number

By the end of the lesson, the learner should be able to:

- Multiply up to a 3-digit number by up to a 2-digit number.
- Apply multiplication skills in real life situations.
- Appreciate the use of multiplication in real life.

The learner is guided to:
- Work out multiplication of up to a 3-digit number by up to a 2-digit number using different methods.
- Practice multiplication using multiplication tables.
- Create and solve multiplication problems.
- Discuss real-life applications of multiplication.

Where is multiplication used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 50.
- Multiplication tables.
- Number cards.
- Chart with multiplication examples.
- Real-life problems.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Multiplication – Multiply up to a 3-digit number by up to a 2-digit number

By the end of the lesson, the learner should be able to:

- Apply multiplication of 3-digit by 2-digit numbers in problem solving.
- Develop strategies for multiplication.
- Show genuine interest in multiplication.

The learner is guided to:
- Practice more examples of multiplication of 3-digit by 2-digit numbers.
- Create and solve real-life problems involving multiplication.
- Develop and share strategies for multiplication.
- Play games involving multiplication of numbers.

How can multiplication help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 51.
- Multiplication tables.
- Number cards.
- Games involving multiplication.
- Real-life multiplication problems.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Multiplication – Multiply up to a 3-digit number by up to a 2-digit number

By the end of the lesson, the learner should be able to:

- Multiply up to a 3-digit number by up to a 2-digit number using different methods.
- Compare different methods of multiplication.
- Apply multiplication in real-life contexts.

The learner is guided to:
- Explore different methods for multiplying 3-digit by 2-digit numbers.
- Compare and discuss the efficiency of different methods.
- Solve complex multiplication problems.
- Apply multiplication in real-life contexts.

What are some efficient methods for multiplication?

- Mentor Mathematics Learner's Book Grade 5 page 52.
- Multiplication tables.
- Chart showing different multiplication methods.
- Digital devices (optional).
- Real-life problems.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Multiplication – Estimating product by rounding off

By the end of the lesson, the learner should be able to:

- Estimate product by rounding off numbers to the nearest ten.
- Apply estimation in real life situations.
- Appreciate the importance of estimation in daily life.

The learner is guided to:
- Estimate products by rounding off factors to the nearest ten.
- Use compatibility of numbers for estimation.
- Develop their own strategies for estimation.
- Compare estimated products with actual products.
- Discuss situations where estimation is useful.

How can we estimate products in real life?

- Mentor Mathematics Learner's Book Grade 5 page 53.
- Number line.
- Number cards.
- Chart showing estimation examples.
- Real-life problems.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Multiplication – Making patterns involving multiplication

By the end of the lesson, the learner should be able to:

- Make patterns involving multiplication of numbers with product not exceeding 100.
- Identify and extend multiplication patterns.
- Appreciate patterns in mathematics.

The learner is guided to:
- Create patterns involving multiplication of numbers with products not exceeding 100.
- Identify rules in multiplication patterns.
- Extend given multiplication patterns.
- Create their own multiplication patterns and share with classmates.

How can you form patterns involving multiplication?

- Mentor Mathematics Learner's Book Grade 5 page 55.
- Number cards.
- Multiplication tables.
- Chart showing number patterns.
- Pattern worksheets.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Multiplication – Making patterns involving multiplication

By the end of the lesson, the learner should be able to:

- Create and extend more complex multiplication patterns.
- Identify rules in multiplication patterns.
- Apply pattern recognition in problem solving.

The learner is guided to:
- Create more complex patterns involving multiplication.
- Identify and articulate the rules in multiplication patterns.
- Use pattern recognition to predict subsequent terms.
- Apply pattern recognition in problem solving.

How does recognizing patterns help in mathematics?

- Mentor Mathematics Learner's Book Grade 5 page 57.
- Number cards.
- Multiplication tables.
- Chart showing complex patterns.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Multiplication – Making patterns involving multiplication

By the end of the lesson, the learner should be able to:

- Create and extend more complex multiplication patterns.
- Identify rules in multiplication patterns.
- Apply pattern recognition in problem solving.

The learner is guided to:
- Create more complex patterns involving multiplication.
- Identify and articulate the rules in multiplication patterns.
- Use pattern recognition to predict subsequent terms.
- Apply pattern recognition in problem solving.

How does recognizing patterns help in mathematics?

- Mentor Mathematics Learner's Book Grade 5 page 57.
- Number cards.
- Multiplication tables.
- Chart showing complex patterns.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Division – Divide up to a 3-digit number by up to a 2-digit number

By the end of the lesson, the learner should be able to:

- Divide up to a 3-digit number by up to a 2-digit number where the dividend is greater than the divisor.
- Apply division skills in real life.
- Appreciate use of division in real life.

The learner is guided to:
- Work out division of up to a 3-digit number by up to a 2-digit number where the dividend is greater than the divisor using long and short form.
- Develop their own strategies for division.
- Create and solve division problems.
- Discuss real-life applications of division.

Where is division used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 60.
- Number cards.
- Multiplication tables.
- Chart with division examples.
- Counters for sharing activities.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Division – Divide up to a 3-digit number by up to a 2-digit number

By the end of the lesson, the learner should be able to:

- Apply division of 3-digit by 2-digit numbers in problem solving.
- Develop strategies for division.
- Show genuine interest in division.

The learner is guided to:
- Practice more examples of division of 3-digit by 2-digit numbers.
- Create and solve real-life problems involving division.
- Develop and share strategies for division.
- Create number games and puzzles involving division.

How can division help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 61.
- Number cards.
- Multiplication tables.
- Games involving division.
- Real-life division problems.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Division – Relationship between multiplication and division

By the end of the lesson, the learner should be able to:

- Apply the relationship between multiplication and division.
- Convert between multiplication and division equations.
- Appreciate the connection between operations.

The learner is guided to:
- Discuss and demonstrate that multiplication is the opposite of division.
- Convert multiplication equations to division equations and vice versa.
- Use the relationship to check division answers.
- Solve problems using the relationship between multiplication and division.

How can we use the relationship between multiplication and division?

- Mentor Mathematics Learner's Book Grade 5 page 63.
- Flash cards with related multiplication and division facts.
- Number cards.
- Chart showing the relationship.
- Games involving related facts.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Division – Estimating quotients by rounding off

By the end of the lesson, the learner should be able to:

- Estimate quotients by rounding off the dividend and divisor to the nearest ten.
- Apply estimation in real life situations.
- Appreciate the importance of estimation.

The learner is guided to:
- Estimate quotients by rounding off the dividend and divisor to the nearest ten.
- Compare estimated quotients with actual quotients.
- Discuss situations where estimation is practical.
- Practice estimation in real-life contexts.

How can we estimate quotients?

- Mentor Mathematics Learner's Book Grade 5 page 65.
- Number line.
- Number cards.
- Chart showing estimation examples.
- Real-life problems.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Division – Combined operations

By the end of the lesson, the learner should be able to:

- Perform combined operations involving addition, subtraction, multiplication and division.
- Apply the correct order of operations.
- Appreciate combined operations in real life.

The learner is guided to:
- Work out questions involving addition, subtraction, multiplication and division.
- Apply the correct order of operations.
- Create and solve problems involving combined operations.
- Discuss real-life applications of combined operations.

How do we solve problems with combined operations?

- Mentor Mathematics Learner's Book Grade 5 page 67.
- Number wheel.
- Number cards.
- Chart showing combined operations.
- Real-life problems.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Division – Combined operations

By the end of the lesson, the learner should be able to:

- Apply the order of operations in complex problems.
- Create problems involving combined operations.
- Show genuine interest in solving combined operations.

The learner is guided to:
- Solve more complex problems involving combined operations.
- Create their own problems involving combined operations.
- Discuss strategies for solving combined operations.
- Play games involving combined operations.

Why is the order of operations important in mathematics?

- Mentor Mathematics Learner's Book Grade 5 page 69.
- Number wheel.
- Number cards.
- Games involving combined operations.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Fractions – Simplifying fractions

By the end of the lesson, the learner should be able to:

- Simplify fractions to their lowest terms.
- Identify equivalent fractions.
- Appreciate the use of fractions in real life.

The learner is guided to:
- Identify equivalent fractions using a fraction board or chart.
- Represent equivalent fractions using real objects.
- Simplify given fractions using a fraction chart.
- Discuss real-life applications of simplified fractions.

Why do we simplify fractions?

- Mentor Mathematics Learner's Book Grade 5 page 73.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Real objects for demonstration.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Fractions – Comparing fractions

By the end of the lesson, the learner should be able to:

- Compare fractions with different denominators.
- Use symbols (<, >, =) to compare fractions.
- Apply comparison of fractions in real life.

The learner is guided to:
- Compare given fractions using paper cut-outs and concrete objects.
- Use symbols (<, >, =) to show the relationship between fractions.
- Convert fractions to equivalent fractions with same denominators for comparison.
- Discuss real-life situations requiring comparison of fractions.

Why do we compare fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 75.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Comparison symbol cards.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Fractions – Comparing fractions

By the end of the lesson, the learner should be able to:

- Compare fractions with different denominators.
- Use symbols (<, >, =) to compare fractions.
- Apply comparison of fractions in real life.

The learner is guided to:
- Compare given fractions using paper cut-outs and concrete objects.
- Use symbols (<, >, =) to show the relationship between fractions.
- Convert fractions to equivalent fractions with same denominators for comparison.
- Discuss real-life situations requiring comparison of fractions.

Why do we compare fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 75.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Comparison symbol cards.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Fractions – Ordering fractions

By the end of the lesson, the learner should be able to:

- Order fractions with denominators not exceeding 12.
- Arrange fractions in ascending and descending order.
- Apply ordering of fractions in real life.

The learner is guided to:
- Order given fractions in increasing and decreasing order using a number line, paper cut-outs, real objects.
- Convert fractions to equivalent fractions with same denominators for ordering.
- Create and solve problems involving ordering of fractions.
- Discuss real-life applications of ordering fractions.

Where are fractions used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 77.
- Fraction number line.
- Fraction chart.
- Paper cut-outs.
- Real objects for demonstration.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Fractions – Adding fractions with same denominator

By the end of the lesson, the learner should be able to:

- Add fractions with same denominator.
- Simplify sums of fractions.
- Apply addition of fractions in real life.

The learner is guided to:
- Add two fractions with the same denominator using paper cut-outs, number line, real objects.
- Simplify the sum of fractions.
- Create and solve problems involving addition of fractions.
- Discuss real-life applications of addition of fractions.

How do we add fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 79.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Fractions – Subtracting fractions with same denominator

By the end of the lesson, the learner should be able to:

- Subtract fractions with same denominator.
- Simplify differences of fractions.
- Apply subtraction of fractions in real life.

The learner is guided to:
- Subtract two fractions with the same denominator using paper cut-outs, number line, real objects.
- Simplify the difference of fractions.
- Create and solve problems involving subtraction of fractions.
- Discuss real-life applications of subtraction of fractions.

How do we subtract fractions in real life?

- Mentor Mathematics Learner's Book Grade 5 page 81.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Fractions – Adding fractions with one renaming

By the end of the lesson, the learner should be able to:

- Add fractions with one renaming.
- Convert fractions to equivalent fractions with same denominator.
- Apply addition of fractions in real life.

The learner is guided to:
- Carry out addition of two fractions by renaming one fraction using equivalent fractions.
- Simplify the sum of fractions.
- Create and solve problems involving addition of fractions with one renaming.
- Discuss real-life applications.

Why do we need to rename fractions before adding?

- Mentor Mathematics Learner's Book Grade 5 page 84.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Fractions – Adding fractions with one renaming

By the end of the lesson, the learner should be able to:

- Apply addition of fractions with one renaming in problem solving.
- Develop strategies for adding fractions with different denominators.
- Show genuine interest in adding fractions.

The learner is guided to:
- Practice more examples of addition of fractions with one renaming.
- Create and solve real-life problems involving addition of fractions.
- Develop and share strategies for adding fractions with different denominators.
- Play games involving addition of fractions.

How can addition of fractions help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 85.
- Fraction board.
- Fraction chart.
- Games involving fractions.
- Real-life fraction problems.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Fractions – Subtracting fractions with one renaming

By the end of the lesson, the learner should be able to:

- Subtract fractions with one renaming.
- Convert fractions to equivalent fractions with same denominator.
- Apply subtraction of fractions in real life.

The learner is guided to:
- Carry out subtraction of two fractions by renaming one fraction using equivalent fractions.
- Simplify the difference of fractions.
- Create and solve problems involving subtraction of fractions with one renaming.
- Discuss real-life applications.

Why do we need to rename fractions before subtracting?

- Mentor Mathematics Learner's Book Grade 5 page 86.
- Fraction board.
- Fraction chart.
- Paper cut-outs.
- Number line.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Fractions – Subtracting fractions with one renaming

By the end of the lesson, the learner should be able to:

- Apply subtraction of fractions with one renaming in problem solving.
- Develop strategies for subtracting fractions with different denominators.
- Show genuine interest in subtracting fractions.

The learner is guided to:
- Practice more examples of subtraction of fractions with one renaming.
- Create and solve real-life problems involving subtraction of fractions.
- Develop and share strategies for subtracting fractions with different denominators.
- Play games involving subtraction of fractions.

How can subtraction of fractions help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 87.
- Fraction board.
- Fraction chart.
- Games involving fractions.
- Real-life fraction problems.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Decimals – Place value of decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Identify place value of decimals up to thousandths.
- Read and write decimals up to thousandths.
- Appreciate the use of decimals in real life.

The learner is guided to:
- Work out place value of decimals up to thousandths using a place value chart.
- Read and write decimals up to thousandths.
- Identify the value of digits in different decimal places.
- Discuss where decimals are used in real life.

Where do you use decimals in real life?

- Mentor Mathematics Learner's Book Grade 5 page 91.
- Decimal place value chart.
- Number cards with decimals.
- Real-life examples with decimals.

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Decimals – Place value of decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Identify place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Apply knowledge of decimal place value in real life.

The learner is guided to:
- Determine the place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Create and solve problems involving decimal place value.
- Discuss real-life applications of decimal place value.

What is the importance of understanding place value in decimals?

- Mentor Mathematics Learner's Book Grade 5 page 92.
- Decimal place value chart.
- Number cards with decimals.
- Digital devices (optional).
- Real-life examples with decimals.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Decimals – Place value of decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Identify place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Apply knowledge of decimal place value in real life.

The learner is guided to:
- Determine the place value and total value of digits in decimal numbers.
- Read and write decimal numbers correctly.
- Create and solve problems involving decimal place value.
- Discuss real-life applications of decimal place value.

What is the importance of understanding place value in decimals?

- Mentor Mathematics Learner's Book Grade 5 page 92.
- Decimal place value chart.
- Number cards with decimals.
- Digital devices (optional).
- Real-life examples with decimals.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Decimals – Ordering decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Order decimals up to thousandths from smallest to largest.
- Compare decimals using symbols (<, >, =).
- Apply ordering of decimals in real life.

The learner is guided to:
- Order decimals up to thousandths from smallest to largest using number cards or number line.
- Compare decimals using symbols (<, >, =).
- Create and solve problems involving ordering of decimals.
- Discuss real-life applications of ordering decimals.

What is the importance of ordering decimals?

- Mentor Mathematics Learner's Book Grade 5 page 93.
- Decimal number line.
- Number cards with decimals.
- Comparison symbol cards.
- Real-life data with decimals.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Decimals – Ordering decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Order decimals up to thousandths from largest to smallest.
- Apply ordering of decimals in different contexts.
- Show genuine interest in ordering decimals.

The learner is guided to:
- Order decimals up to thousandths from largest to smallest using number cards or number line.
- Create and solve real-life problems involving ordering of decimals.
- Develop strategies for comparing and ordering decimals.
- Play games involving ordering of decimals.

How does ordering decimals help us in real life?

- Mentor Mathematics Learner's Book Grade 5 page 95.
- Decimal number line.
- Number cards with decimals.
- Games involving decimals.
- Real-life data with decimals.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Decimals – Adding decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Add decimals up to thousandths.
- Align decimal points correctly during addition.
- Apply addition of decimals in real life.

The learner is guided to:
- Work out addition of decimals up to thousandths using place value apparatus.
- Align decimal points correctly during addition.
- Create and solve problems involving addition of decimals.
- Discuss real-life applications of addition of decimals.

How do we add decimals in real life?

- Mentor Mathematics Learner's Book Grade 5 page 96.
- Place value apparatus.
- Decimal place value chart.
- Number cards with decimals.
- Real-life problems with decimals.

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Decimals – Subtracting decimals up to thousandths

By the end of the lesson, the learner should be able to:

- Subtract decimals up to thousandths.
- Align decimal points correctly during subtraction.
- Apply subtraction of decimals in real life.

The learner is guided to:
- Work out subtraction of decimals up to thousandths using place value apparatus.
- Align decimal points correctly during subtraction.
- Create and solve problems involving subtraction of decimals.
- Discuss real-life applications of subtraction of decimals.

How do we subtract decimals in real life?

- Mentor Mathematics Learner's Book Grade 5 page 98.
- Place value apparatus.
- Decimal place value chart.
- Number cards with decimals.
- Real-life problems with decimals.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Simple Equations – Forming simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Define simple equations.
- Form simple equations with one unknown from real-life situations.
- Appreciate the use of equations in real life.

The learner is guided to:
- Discuss and form equations with one unknown from daily experiences.
- Represent real-life problems using simple equations.
- Create their own equations with one unknown.
- Share their equations with classmates.

Where are equations used in real life?

- Mentor Mathematics Learner's Book Grade 5 page 101.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).

- Observation. - Oral questions. - Written exercises. - Group work assessment.

NUMBERS

Simple Equations – Forming simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Form simple equations from word problems.
- Translate real-life situations into equations.
- Show genuine interest in forming equations.

The learner is guided to:
- Translate word problems into simple equations.
- Form equations from different real-life situations.
- Create their own real-life scenarios and form equations from them.
- Share and discuss their equations with classmates.

How can we translate real-life situations into equations?

- Mentor Mathematics Learner's Book Grade 5 page 102.
- Word problem cards.
- Charts with equation examples.
- Digital devices (optional).
- Real-life scenarios.

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Simple Equations – Solving simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Solve simple equations with one unknown involving addition.
- Apply solving equations in real-life situations.
- Appreciate the use of equations in problem-solving.

The learner is guided to:
- Solve equations with one unknown involving addition.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.

How do equations help us solve real-life problems?

- Mentor Mathematics Learner's Book Grade 5 page 103.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS

Simple Equations – Solving simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Solve simple equations with one unknown involving subtraction.
- Apply solving equations in real-life situations.
- Appreciate the use of equations in problem-solving.

The learner is guided to:
- Solve equations with one unknown involving subtraction.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.

How can solving equations help us in daily life?

- Mentor Mathematics Learner's Book Grade 5 page 104.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Simple Equations – Solving simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Solve simple equations with one unknown involving subtraction.
- Apply solving equations in real-life situations.
- Appreciate the use of equations in problem-solving.

The learner is guided to:
- Solve equations with one unknown involving subtraction.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.

How can solving equations help us in daily life?

- Mentor Mathematics Learner's Book Grade 5 page 104.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

NUMBERS

Simple Equations – Solving simple equations with one unknown

By the end of the lesson, the learner should be able to:

- Solve simple equations with one unknown involving multiplication and division.
- Apply solving equations in real-life situations.
- Appreciate the use of equations in problem-solving.

The learner is guided to:
- Solve equations with one unknown involving multiplication and division.
- Check their answers by substituting back into the original equation.
- Create and solve problems involving simple equations.
- Discuss real-life applications of equations.

How do equations with multiplication and division relate to real life?

- Mentor Mathematics Learner's Book Grade 5 page 105.
- Charts with equation examples.
- Real-life problems.
- Digital devices (optional).

- Observation. - Oral questions. - Written exercises. - Group presentation.

NUMBERS
MEASUREMENT

Simple Equations – Application of simple equations
Length - Identifying the kilometre (km) as a unit of measuring length

By the end of the lesson, the learner should be able to:

- Form and solve simple equations from word problems.
- Apply equations in different situations.
- Appreciate the use of equations in problem-solving.

The learner is guided to:
- Translate word problems into simple equations.
- Solve the equations and interpret the results in context.
- Create real-life problems that can be solved using equations.
- Share and discuss their problems with classmates.

How can we use equations to solve everyday problems?

- Mentor Mathematics Learner's Book Grade 5 page 107.
- Word problem cards.
- Charts with equation examples.
- Digital devices (optional).
- Mentor Mathematics learners book grade 5 page 109
- Road signs showing distances
- Maps
- Digital devices

- Oral questions. - Written exercises. - Group work observation. - Individual assessment.

MEASUREMENT

Length - Estimating distance in kilometres (1)

By the end of the lesson, the learner should be able to:

- Estimate distance in kilometres in real life situations
- Appreciate the use of kilometres in estimating distances

In groups and individually, learners are guided to:
- Discuss in groups and estimate distance in kilometres practically using play materials such as ropes and share their estimates
- Estimate distances between various landmarks in the school compound

Why do you measure distance?

- Mentor Mathematics learners book grade 5 page 110
- Measuring tapes
- Maps
- Ropes

- Oral questions - Observation - Written exercises

MEASUREMENT

Length - Estimating distance in kilometres (2)
Length - Relationship between kilometre and metre (1)

By the end of the lesson, the learner should be able to:

- Estimate distance in kilometres in real life situations
- Measure estimated distances and compare with actual measurements
- Appreciate the use of estimation in real life

In groups and individually, learners are guided to:
- Measure distance estimated and compare findings with others
- Estimate the distance between various places using maps
- Discuss practical situations where estimation of distance is useful

Why do you measure distance?

- Mentor Mathematics learners book grade 5 page 111
- Measuring tapes
- Maps
- Ropes
- Mentor Mathematics learners book grade 5 page 112
- 1 metre ruler
- Metre sticks
- Tape measure

- Oral questions - Observation - Written exercises

MEASUREMENT

Length - Relationship between kilometre and metre (2)
Length - Converting kilometres to metres and vice versa (1)

By the end of the lesson, the learner should be able to:

- Apply the relationship between the kilometre (km) and the metre (m) in different situations
- Appreciate the relationship that 1 km = 1000 m

In groups and individually, learners are guided to:
- Discuss the relationship between km and m (1 km = 1,000 m)
- Calculate equivalent measurements using the relationship
- Use digital devices to learn more about the relationship between km and m

How do you measure distance?

- Mentor Mathematics learners book grade 5 page 113
- 1 metre ruler
- Metre sticks
- Tape measure
- Digital devices
- Mentor Mathematics learners book grade 5 page 113-114
- Conversion charts

- Oral questions - Written exercises - Observation

MEASUREMENT

Length - Converting kilometres to metres and vice versa (2)
Length - Addition of metres and kilometres

By the end of the lesson, the learner should be able to:

- Convert metres to kilometres in real life situations
- Appreciate the use of conversion in real life

In groups and individually, learners are guided to:
- Convert metres to kilometres using the relationship 1 km = 1,000 m
- Solve problems involving conversion of metres to kilometres
- Apply conversion in real-life problems

How do you measure distance?

- Mentor Mathematics learners book grade 5 page 115
- Conversion charts
- Digital devices
- Mentor Mathematics learners book grade 5 page 116-118
- Maps

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Subtraction of metres and kilometres

By the end of the lesson, the learner should be able to:

- Subtract metres and kilometres in real life situations
- Solve problems involving subtraction of metres and kilometres

In groups and individually, learners are guided to:
- Subtract metres and kilometres with regrouping
- Solve real-life problems involving subtraction of metres and kilometres
- Calculate differences in distances on maps

Where is subtraction of length used in real life?

- Mentor Mathematics learners book grade 5 page 119-120
- Maps
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Multiplication of metres and kilometres by whole numbers

By the end of the lesson, the learner should be able to:

- Multiply metres and kilometres by whole numbers in real life situations
- Solve problems involving multiplication of metres and kilometres

In groups and individually, learners are guided to:
- Multiply metres and kilometres by whole numbers
- Solve real-life problems involving multiplication of metres and kilometres
- Calculate total distances for repeated journeys

How do we use multiplication of length in real life?

- Mentor Mathematics learners book grade 5 page 121-122
- Multiplication tables
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Division of metres and kilometres by whole numbers (1)

By the end of the lesson, the learner should be able to:

- Divide metres and kilometres by whole numbers in real life situations
- Solve problems involving division of metres and kilometres

In groups and individually, learners are guided to:
- Divide metres and kilometres by whole numbers
- Solve real-life problems involving division of metres and kilometres
- Calculate distances shared equally

How do we use division of length in real life?

- Mentor Mathematics learners book grade 5 page 123
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Length - Division of metres and kilometres by whole numbers (2)

By the end of the lesson, the learner should be able to:

- Divide metres and kilometres by whole numbers with remainders
- Solve complex problems involving division of metres and kilometres

In groups and individually, learners are guided to:
- Divide metres and kilometres by whole numbers with remainders
- Solve complex real-life problems involving division of metres and kilometres
- Calculate distances in practical situations

How do we use division of length in real life?

- Mentor Mathematics learners book grade 5 page 124
- Digital devices

- Oral questions - Written exercises - Assessment rubrics

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area (1)

By the end of the lesson, the learner should be able to:

- Use the square centimetre (cm²) as a unit of measuring area in real life
- Appreciate the use of cm² in real life

In groups and individually, learners are guided to:
- Measure, trace and cut out 1 cm by 1 cm units, and refer the area of each as one square centimetre (1 cm²)
- Cover a given surface using 1-centimetre square cut-outs and count the number of cut-outs to get the area in cm²

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 124-125
- Square cut-outs
- 1 cm squares
- Scissors
- Glue

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area (2)

By the end of the lesson, the learner should be able to:

- Measure area of different surfaces in square centimetres
- Appreciate the use of cm² in measuring area

In groups and individually, learners are guided to:
- Measure the area of different surfaces using square centimetre cut-outs
- Compare the areas of different surfaces
- Record and discuss their findings

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 125-126
- Square cut-outs
- 1 cm squares
- Various surfaces to measure

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - The square centimetre (cm²) as a unit of measuring area (2)

By the end of the lesson, the learner should be able to:

- Measure area of different surfaces in square centimetres
- Appreciate the use of cm² in measuring area

In groups and individually, learners are guided to:
- Measure the area of different surfaces using square centimetre cut-outs
- Compare the areas of different surfaces
- Record and discuss their findings

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 125-126
- Square cut-outs
- 1 cm squares
- Various surfaces to measure

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - Working out area of rectangles in square centimetres (1)

By the end of the lesson, the learner should be able to:

- Work out area of rectangles in square centimetres (cm²) in different situations
- Establish the formula for area of a rectangle (length × width)

In groups and individually, learners are guided to:
- Establish area of rectangles in cm² as the product of the number of 1 cm² units in the row by the number of units in the column
- Derive the formula: Area of rectangle = Length × Width

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 126-127
- Square cut-outs
- Rulers
- Charts with rectangles

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - Working out area of rectangles in square centimetres (2)

By the end of the lesson, the learner should be able to:

- Apply the formula for area of rectangles in different situations
- Solve problems involving area of rectangles

In groups and individually, learners are guided to:
- Work out the area of different rectangles using the formula (length × width)
- Solve real-life problems involving area of rectangles
- Calculate the area of rectangular objects

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 127-128
- Rulers
- Rectangular objects
- Charts with rectangles

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - Working out area of squares in square centimetres (1)

By the end of the lesson, the learner should be able to:

- Work out area of squares in square centimetres (cm²) in different situations
- Establish the formula for area of a square (side × side)

In groups and individually, learners are guided to:
- Establish area of squares in cm² as the product of the side by itself
- Derive the formula: Area of square = side × side
- Discuss the difference between rectangles and squares

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 129-130
- Square cut-outs
- Rulers
- Charts with squares

- Oral questions - Written exercises - Observation - Project

MEASUREMENT

Area - Working out area of squares in square centimetres (2)

By the end of the lesson, the learner should be able to:

- Apply the formula for area of squares in different situations
- Solve problems involving area of squares

In groups and individually, learners are guided to:
- Work out the area of different squares using the formula (side × side)
- Solve real-life problems involving area of squares
- Calculate the area of square objects

How can you determine the area of different surfaces?

- Mentor Mathematics learners book grade 5 page 130-131
- Rulers
- Square objects
- Charts with squares

- Oral questions - Written exercises - Observation - Project